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Finding the Fourth Proportional to 289,313.51, 399,249.95 and 161,991.23

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Solution

The fourth proportional to 289,313.51, 399,249.95 and 161,991.23 is: 223,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,313.51 : 399,249.95 = 161,991.23 : x
  2. Step 2: Convert to fraction form
    289,313.51/399,249.95 = 161,991.23/x
  3. Step 3: Cross multiply
    289,313.51x = 399,249.95 × 161,991.23
  4. Step 4: Simplify right side
    289,313.51x = 64,674,987,671.73
  5. Step 5: Solve for x
    x = 64,674,987,671.73/289,313.51
  6. Step 6: Final answer
    x = 223,546.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.